Answer:
see explanation
Step-by-step explanation:
Given
3x² + 2y² = 24
To find the x- intercepts , let y = 0 in the equation and solve for x
3x² + 2(0)² = 24, that is
3x² = 24 ( divide both sides by 3 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ← x- intercepts
To find the y- intercepts. let x = 0 in the equation and solve for y
3(0)² + 2y² = 24 , that is
2y² = 24 ( divide both sides by 2 )
y² = 12 ( take the square root of both sides )
y = ± [tex]\sqrt{12}[/tex] = ± 2[tex]\sqrt{3}[/tex] ← y- intercepts
There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate
Answer:
9 rings
Step-by-step explanation:
Given that :
Number of days until craft sale = 91 days
Number of rings required to make before sale = 817 rings
If same number of rings is made per day;
Number of Daily ring production will be ;
817 / 91
= 8.978 rings
= 9 rings (approximately)
Yorkeuri has a cake that weighs 80 ounces. How many pounds does the cake weigh? *
Answer: 5 pounds
Step-by-step explanation:
80 / 16 = 5
Answer:
5 pounds
Step-by-step explanation:
Hope this helps!
Hey guys help me with this question plzzzzzz
Answer:
625 cm³ and 64000 cm³
Step-by-step explanation:
Given
x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )
x³ = V
(a)
x = 25 cm , then
V = 25³ = 625 cm³
(b)
x = 40 cm , then
V = 40³ = 64 000 cm³
Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *
A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
80
Nurnber of Square
50
100
150
Feet, x
Time in Minutes,
32
40
60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
O 20 minutes
O 80 minutes
O 125 minutes
O 400 minutes
Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x
9514 1404 393
Answer:
y = 38x
Step-by-step explanation:
The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...
y = kx
y = 38x
Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?
Answer:
17.52%
Step-by-step explanation:
65.35/11.45 = 0.1752
.1752 * 100
= 17.52
What would be the domain and range
Answer:
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
90% of the workers are men. If 590 people work for the company who aren't men, how many workers are there in all?
Step-by-step explanation:
do 590 divided by 90 if that doesn't work multiply it
y^3-8y^2+19y=12
Solve
Answer:
Step-by-step explanation:
steps are below
step 1
y^3-8y^2+19y=12 equation
step 2
y^3-8y2+19y(-12)=12(-12) minus 12 from both sides
y^3-8y^2+19y-12=0
step 3
(y-1)(y-3)(y-4)=0 add brackets
step 4
(y-1)(y-3)(y-4)=0 factor
step 5
y-1=0 or y−3=0 or y-4=0 set them equal
Answer:
y=1 or y=3 or y=4
A coat is on sale for $76 tax is 8% what is the amount of tax
Answer:
$6.08
Step-by-step explanation:
8% = 0.08
76 × 0.08
= $ 6.08
0.5 is equivalent to what rational number?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
what is 1.75 divided by 7
Answer:
0.25
Step-by-step explanation:
1.75/7 would equaln0.25, use your calculator if you have one
The decimal 1.75 when divided by the number 7 gives the decimal 0.25.
In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.
The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.
The decimal 1.75 can be written as a fraction as follows:
[tex]1.75 = \dfrac{175}{100}[/tex]
[tex]= \dfrac{7}{4}[/tex]
To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.
[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]
Thus, 0.25 is 1.75 divided by 7.
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What is the value of cos(4pi/3)
Answer: B.-1/2 on edg
Answer:
Answer: B.-1/2
Step-by-step explanation:
In 1 hour the employee dropped 635 chocolates. If this represents 25% of the days chocolate molds, how many chocolates were planned to be
produced
Answer:
2540
Step-by-step explanation:
25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b
can someone please help me im struggling on this one
Answer:
Equation: 32° + 30° + x° = 180°Solved: x = 118°Step-by-step explanation:
3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°I hope this helps!
The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?
Answer:
42 gifts.
Step-by-step explanation:
14/2=7
7*6=42
Given f(x)=2x²+2x-4, which is correct?
A) f(0)=0
B) f(-1)=4
C) f(b+1)=2b²+6b-4
D) f(a)=2a²+2a-4
Answer:
Option D: f(a) = 2a²+2a-4 is the correct answer.
Step-by-step explanation:
Given that:
f(x)=2x²+2x-4
We will check the function at the given value;
A. f(0)
Putting x=0 in given function
f(0) = 2(0)²+2(0) - 4
f(0) = 0+0-4
f(0) = -4
B. f(-1)
Putting x=-1
f(-1) = 2(-1)²+2(-1)-4
f(-1) = 2(1) -2-4
f(-1) = 2-6
f(-1) = -4
C. f(b+1) = 2b²+6b-4
Putting x=b+1
f(b+1) = 2(b+1)²+2(b+1)-4
f(b+1) = 2(b²+2b+1)+2b+2-4
f(b+1) = 2b²+4b+2+2b+2-4
f(b+1) = 2b²+6b
D. f(a) = 2a²+2a-4
Putting x=a
f(a) = 2(a)²+2(a)-4
f(a) = 2a²+2a-4
Hence,
Option D: f(a) = 2a²+2a-4 is the correct answer.
HELPPP PLS
What is the vertex form of the equation?
y = x² – 2x+8
A person standing close to the edge on top of a 32-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+124t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown. a) What is the maximum height of the ball? __feet b) How many seconds does it take until the ball hits the ground? ____ seconds
Answer:
a) The maximum height of the ball is 272.25 feet
b) The balls take 8 seconds to hit the ground.
Step-by-step explanation:
a) You know that the quadratic function h(t)=−16*t²+124*t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.
Being a quadratic function of the form:
f (x) = a*x² + b*x + c
The vertex of a quadratic or parabola equation is the highest or lowest point on the graph corresponding to that function. When a> 0, the vertex of the parabola is at the bottom of it and indicates the minimum of the function. When a <0 the vertex is at the top and indicates the maximum of the function.
The value of x at the vertex is calculated by the expression:
[tex]x=\frac{-b}{2*a}[/tex]
The value of y at the vertex is calculated by substituting the value of x at the vertex into the quadratic function.
In this case, being a=-16, b=124 and c=32 you get that the maximum time is:
[tex]x=\frac{-124}{2*(-16)}=3.875[/tex]
Then a maximum height of:
h(3.875)=−16*(3.875)²+124*3.875+32
h(3.875)= 272.25
The maximum height of the ball is 272.25 feet
b) When the ball hits the ground the height is zero. So h (t) = 0:
0=−16*t²+124*t+32
Applying the resolvent:
[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a} =\frac{-124+-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)}[/tex]
you get:
[tex]\frac{-124+\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =-0.25[/tex]
[tex]\frac{-124-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =8[/tex]
Since the time cannot be negative, the balls take 8 seconds to hit the ground.
You decide to make lasagna for dinner. The baking dish in the shape of a rectangular prism measures 13 inches by 9 inches by 2 inches. What is the volume of the container?
Volume = 13in * 9in * 2in = 234in³.
Answer:
234 inches³
Step-by-step explanation:
Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)
[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2
= 234 inches³
Hope this helps :)
The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points
Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.
I got 100 for this so gl
The relationship between time and the volume of water in Tank B is proportional.
What is a line graph?A line graph is a type of graph where the data points are connected by segments of straight lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a line graph shown in the picture.
As we know,
Variables in a linear function will be proportionate if it passes through the origin.
y = mx + b
b is y-intercept = 0
y = mx
The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.
Thus, the relationship between time and the volume of water in Tank B is proportional.
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solve for the number
18 is 9% of what number?
The answer is 50 hope this helps you!
Answer: 200
Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)
1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !
Answer:
0.125 feet
75/60 to get minutes
0.02/60 to get seconds
multiply by 6
Step-by-step explanation:
i need help i dont understand
Answer:
D. 1/3^3
Step-by-step explanation:
Divide 3/3 as usual and get 1.
When dividing exponents, you are actually subtracting them. 5-8 = -3.
D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.
The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.
3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³
So the answer is
D) 1/3³
whats the answer giving brainliest MATH
Answer:
the answer is b
Step-by-step explanation:
Answer:
D i believe
Step-by-step explanation:
hope this helped!!!
-BB
jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Help needed ASAP plzs .....
I PROMISE I WILL MARK AS BRAINLIEST please i want an answer
in the unit circle whose center is (o)if the length of the arc BC =1/3π , then sec (∠BOC) =
Answer:
Answer is = 1
Step-by-step explanation:
Hope it's answered you
Answer:
nice
Step-by-step explanation:
Solve the system by elimination. {2x+y=13x−y=−4 A. (3, 7) B. (2, 6) C. (4, 8) D. no solution
Answer:
A
Step-by-step explanation:
Given the 2 equations
2x + y = 13 → (1)
x - y = - 4 → (2)
Add the 2 equations term by term to eliminate the y- term, that is
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
2(3) + y = 13
6 + y = 13 ( subtract 6 from both sides )
y = 7
solution is (3, 7 ) → A
Answer:
Step-by-step explanation:
2x+y=13
x - y =-4 lets add both equations
3x=13-4
x=9/3 , x=3
3-y=-4, y=7
choice A